Relaxation self-oscillations in Hopfield networks with delay
Sergey Dmitrievich Glyzin, A. Yu. Kolesov, Николай Христович Розов · Izvestiya Mathematics · 2013
We consider two singularly perturbed non-linear systems of differential-difference equations with delay; one of them is a mathematical model of a single Hopfield neuron and the other simulates the functioning of a circular network of three or more neurons connected unidirectionally. We study the problems of existence, asymptotic behaviour, and stability for these systems of relaxation periodic motions.